9231 P41 - Jun 2021 - Q1 - 7 marks
6791
A random sample of 7 observations of a variable \(X\) are as follows.
| 8.26 | 7.78 | 7.92 | 8.04 | 8.27 | 7.95 | 8.34 |
The population mean of \(X\) is \(\mu\).
(a) Test, at the \(10 \%\) significance level, the null hypothesis \(\mu=8.22\) against the alternative hypothesis \(\mu\lt 8.22\).
(b) State an assumption necessary for the test in part (a) to be valid.
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